A Robin formula for the Fekete-Leja transfinite diameter

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This note gives a higher-dimensional generalization of the classical formula cap(K) = exp(-V(E)) expressing the logarithmic capacity in terms of the residue at infinity of its Green's function. The proof uses arithmetic intersection theory.
8 pages

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Complex Variables, 32U35, 32U20, 14G40 (Primary), 31B15, 31C10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/94778

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509500
 http://arxiv.org/abs/math/0509500

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arXiv